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BA Degree with a Major in Mathematics
BS Degree with a Major in Mathematics
Minor in Mathematics
Program Learning Outcomes for the BA Degree with a Major in Mathematics
Upon completing the BA degree, a student majoring in Mathematics will be able to:
- Achieve both practical and theoretical fluency in calculus and linear algebra.
- Acquire a background at the undergraduate level in a wide variety of central areas of mathematics.
- Be acquainted with formal mathematical reasoning, including proofs.
Requirements for the BA Degree with a Major in Mathematics
For general university requirements, see Graduation Requirements. Students pursuing the BA degree with a major in Mathematics (MATH) must complete:
- A minimum of 12 courses (36 credit hours) to satisfy major requirements.
- A minimum of 120 credit hours to satisfy degree requirements.
Students may choose between the regular Mathematics major (single major) and the double major. The requirements for both single majors and double majors are listed below, and are the same, with the exception of the Electives requirement, which is noted under Electives.
Students receive advanced placement credit for MATH 101 by achieving a score of four or five on the AP AB-level test and for MATH 101 and 102 by achieving a score of four or five on the BC-level test. Students who have had calculus but have not taken the AP test may petition the department for a waiver of the calculus requirements. Entering students should enroll in the most advanced course commensurate with their background; advice is available from the mathematics faculty during Orientation Week and at other times.
CORE REQUIREMENTS
Students must complete a total of 4 courses (12 credit hours) as listed below to satisfy the Mathematics major's Core Requirements.
- MATH 101 Single Variable Calculus I [ 3 credit hours ]
- MATH 102 Single Variable Calculus II [ 3 credit hours ]
- MATH 211 Ordinary Differential Equations and Linear Algebra [ 3 credit hours ] and MATH 212 Multivariable Calculus [ 3 credit hours ]
or MATH 221 Honors Calculus III [ 3 credit hours ] and MATH 222 Honors Calculus IV [ 3 credit hours ]
ELECTIVES
To fulfill the remaining Mathematics major requirements, students must complete a total of 8 additional courses (24 credit hours) from departmental course offerings at the 300-level or above.
Note: The Elective requirements for the double major are the same as the single major except that students may substitute approved mathematics-related courses for up to 3 courses (9 credit hours) of the 8 courses (24 credit hours) required at the 300-level or above.
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Program Learning Outcomes for the BS Degree with a Major in Mathematics
Upon completing the BS degree, a student majoring in Mathematics will be able to:
- Achieve both practical and theoretical fluency in calculus and linear algebra.
- Acquire a broad background at the undergraduate level in all the major areas of mathematics, including analysis, algebra, and geometry.
- Learn to read and write proofs.
Requirements for the BS Degree with a Major in Mathematics
For general university requirements, see Graduation Requirements. Students pursuing the BS degree with a major in Mathematics (MATH) must complete:
- A minimum of 14-17 courses depending on course selection (42-51 credit hours) to satisfy the major requirements.
- A minimum of 120 credit hours to satisfy degree requirements.
These requirements are in addition to general university graduation requirements. The chair of the undergraduate committee of the MATH department may modify requirements to meet the needs of students with advanced backgrounds. At most, students can take one course (three credit hours) for any given course number to use toward the degree.
CORE REQUIREMENTS
Students must complete a total of 12-13 courses depending on course selection (36-39 credit hours) as listed below to satisfy the Mathematics major's Core Requirements.
Single Variable Calculus
Students must complete the following 2 courses (6 credit hours):
- MATH 101 Single Variable Calculus I [ 3 credit hours ]
- MATH 102 Single Variable Calculus II [ 3 credit hours ]
Differential Equations
Students must complete 1 course (3 credit hours) from the following:
- MATH 211 Ordinary Differential Equations and Linear Algebra [ 3 credit hours ]
- MATH 381 Introduction to Partial Differential Equations [ 3 credit hours ]
- MATH 423/CAAM 423 Partial Differential Equations I [ 3 credit hours ]
Multivariable Calculus
Students must complete 1-2 courses (3-6 credit hours) depending on course selection as listed below.
- MATH 212 Multivariable Calculus [ 3 credit hours ]
or MATH 221 Honors Calculus III [ 3 credit hours ] and MATH 222 Honors Calculus IV [ 3 credit hours ]
Linear Algebra
Students must complete 1 course (3 credit hours) from the following:
- MATH 221 Honors Calculus III [ 3 credit hours ]
- MATH 354 Honors Linear Algebra [ 3 credit hours ]
- MATH 355 Linear Algebra [ 3 credit hours ]
Real Analysis
Students must complete a total of 2 courses (6 credit hours) from the following:
- MATH 321 Introduction to Analysis I [ 3 credit hours ]
- MATH 322 Introduction to Analysis II [ 3 credit hours ]
- MATH 425 Integration Theory [ 3 credit hours ]
Algebra
Students must complete the following 2 courses (6 credit hours):
- MATH 356 Abstract Algebra I [ 3 credit hours ]
- MATH 463 Abstract Algebra II [ 3 credit hours ]
Geometry and Manifolds
Students must complete 1 course (3 credit hours) from the following:
- MATH 370 Calculus on Manifolds [ 3 credit hours ]
- MATH 401 Differential Geometry [ 3 credit hours ]
- MATH 402 Differential Geometry [ 3 credit hours ]
Complex Analysis
Students must complete 1 course (3 credit hours) from the following:
- MATH 382 Complex Analysis [ 3 credit hours ]
- MATH 427 Complex Analysis [ 3 credit hours ]
Topology
Students must complete 1 course (3 credit hours) from the following:
- MATH 443 General Topology [ 3 credit hours ]
- MATH 444 Geometric Topology [ 3 credit hours ]
- MATH 445 Algebraic Topology [ 3 credit hours ]
ELECTIVES
To fulfill the remaining Mathematics major requirements, students must complete a total of 11 courses (33 credit hours) from departmental course offerings at the 300-level or above. This requirement can include courses taken from the Core Requirements and as Elective courses.
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Requirements for the Minor in Mathematics
To complete the minor in Mathematics (MATM), students must complete:
- A minimum of 6 courses (18 credit hours) from departmental course offerings at the 200-level or above
- A minimum of 4 courses (12 credit hours) from departmental course offerings at the 300-level or above
Certain approved classes taken outside the mathematics department may be used to satisfy one area of the Core Requirements, but will not count towards the required 6 courses (18 credit hours). An approved upper-level MATH course (other than 490 or 499) may be used to satisfy an area of the Core Requirements. Students seeking to substitute approved courses should consult in advance with the chair of the undergraduate committee. At most one course (three credit hours) from any particular course or course number may be applied to the minor.
CORE REQUIREMENTS
Students must complete 1 course (3 credit hours) from each of the three areas listed below to satisfy the Mathematics minor's Core Requirements.
Analysis
Students must complete 1 course (3 credit hours) from the following:
- MATH 302 Elements of Analysis [ 3 credit hours ]
- MATH 321 Introduction to Analysis I [ 3 credit hours ]
- MATH 381 Introduction to Partial Differential Equations [ 3 credit hours ]
- MATH 382 Complex Analysis [ 3 credit hours ]
Discrete Mathematics and Algebra
Students must complete 1 course (3 credit hours) from the following:
- MATH 356 Abstract Algebra I [ 3 credit hours ]
- MATH 365 Number Theory [ 3 credit hours ]
- MATH 368 Topics in Combinatorics [ 3 credit hours ]
Linear Algebra
Students must complete 1 course (3 credit hours) from the following:
- MATH 221 Honors Calculus III [ 3 credit hours ]
- MATH 354 Honors Linear Algebra [ 3 credit hours ]
- MATH 355 Linear Algebra [ 3 credit hours ]
ELECTIVES
To fulfill the remaining Mathematics minor requirements, students must complete a total of 3 additional courses (9 credit hours) from departmental (MATH) course offerings.
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Descriptions and Codes Legend
Note: Internally, the university uses the following abbreviations (4-digit codes) to identify the Mathematics undergraduate degrees, major, and minor. The following is a quick reference:
Course Catalog/Schedule
- Course offerings/subject code: MATH
Department Description and Code
- Mathematics: MATH
Degree Description and Code
- Bachelor of Arts degree: BA
- Bachelor of Science degree: BS
Major Description and Code
- Major in Mathematics (attached to both the BA and BS Degrees): MATH
Minor Description and Code
- Minor in Mathematics: MATM